Axiomatic Theory of Bargaining with a Variable Number of Agents

This book takes the bargaining problem as Nash first treated it and asks what should happen when the number of bargainers is not fixed. The authors formulate axioms that specify how solutions ought to respond when participants join or leave, which is the central technical move of the work.

The book also gives new characterisations of all the major bargaining solutions and extends those solutions to the wider setting. Researchers and graduate students in game theory, social choice and economic theory are its natural readers, along with anyone working on fair division problems who needs a clear axiomatic framework.

Published by Cambridge University Press. ISBN-13: 9780521027038.